18 citations · 43 across the 22 of their papers we have counts for
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math.PR2013★ 2 cited
Spectra of stochastic adding machines based on Cantor Systems of numeration
Ali Messaoudi, Glauco Valle
In this paper, we define a stochastic adding machine based on Cantor Systems of numeration. We also compute the parts of spectra of the transition operator associated to this stoch…
math.DS2013★ 4 cited
Spectrum of stochastic adding machines and fibered Julia sets
Ali Messaoudi, Olivier Sester, Glauco Valle
Consider the basic algorithm to perform the transformation n--> n+1 changing digits of the d-adic expansion of n one by one. We obtain a family of Markov chains on the non-negative…